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    GCF for 12, 16 and 18

    "Greatest Common Factor of 3 Numbers" Calculator
    Greatest Common Factor of
    ,
    and

    What's the Greatest Common Factor (GCF) of 12, 16 and 18?

    Answer

    GCF of 12, 16 and 18 is
    2

    Common factors: 1, 2

    2 divides all three: 12 ÷ 2 = 6, 16 ÷ 2 = 8, 18 ÷ 2 = 9 — and 6, 8 and 9 have no factor but 1 common to all of them, so no larger number divides all three.

    12 = 22 × 3

    16 = 24

    18 = 2 × 32

    Prime121618Lowest power
    2222422
    33—32—

    — = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

    GCF = 2

    More with these numbers

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--16--18Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--16--18">What is the GCF of 12, 16 and 18? - Calculatio</a>Copy
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    What is the GCF of 12, 16 and 18? The GCF of 12, 16 and 18 is 2 — the largest number that divides all three with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--16--18/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    312161
    412164
    512161
    612162
    712161
    812164
    912161
    1012162
    1112161
    1212164
    1213161
    1214162
    1215161
    1216164
    1216171
    1216182
    1216191
    1216204
    1216211
    1216222
    1216231
    1216244
    1216251
    1216262
    1216271
    1216284
    1216291
    1216302
    1216311
    1216324

    FAQ

    What's the Greatest Common Factor (GCF) of 12, 16 and 18?

    GCF of 12, 16 and 18 is 2

    What prime factors do 12, 16 and 18 share?

    All three factorizations contain 2, and multiplying those shared primes gives 2 — exactly the greatest common factor.

    Can you get the GCF of 12, 16 and 18 two numbers at a time?

    Yes. The GCF of 12 and 16 is 4, and the GCF of 4 and 18 is 2 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

    How does the GCF simplify the ratio 12 : 16 : 18?

    Divide every term by the GCF 2: 12 ÷ 2 = 6, 16 ÷ 2 = 8 and 18 ÷ 2 = 9. So 12 : 16 : 18 in lowest terms is 6 : 8 : 9, and no whole number other than 1 divides all three of those.

    See Also